JEE Main 2022MathematicsBasic of MathematicsEasyMCQ

JEE Main 2022 — Basic of Mathematics Question with Solution

JEE Main 2022 (28 Jul Shift 2)

Question

Let S=x∈-6,3--2,2:x+3-1x-2≥0 and T=x∈Z:x2-7x+9≤0. Then the number of elements in S∩T is

Choose an option

Show full solutionCorrect option: D
Correct answer
D3

Step-by-step explanation

Given, x2-7x+9≤0

⇒x≤7±132

⇒x∈7-132,7+132

Also given x∈Integers, so x can be ±2, ±3, ±4, ±5

Now out of these values of x only 3, -4, -5 will satisfy S=x+3-1x-2≥0

So, S∩T∈ 3, -4, -5

So, nS∩T=3

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About this question

This is a previous-year question from JEE Main 2022, covering the Basic of Mathematics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.